n+2(5)=4(2n+1)

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Solution for n+2(5)=4(2n+1) equation:


Simplifying
n + 2(5) = 4(2n + 1)

Multiply 2 * 5
n + 10 = 4(2n + 1)

Reorder the terms:
10 + n = 4(2n + 1)

Reorder the terms:
10 + n = 4(1 + 2n)
10 + n = (1 * 4 + 2n * 4)
10 + n = (4 + 8n)

Solving
10 + n = 4 + 8n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-8n' to each side of the equation.
10 + n + -8n = 4 + 8n + -8n

Combine like terms: n + -8n = -7n
10 + -7n = 4 + 8n + -8n

Combine like terms: 8n + -8n = 0
10 + -7n = 4 + 0
10 + -7n = 4

Add '-10' to each side of the equation.
10 + -10 + -7n = 4 + -10

Combine like terms: 10 + -10 = 0
0 + -7n = 4 + -10
-7n = 4 + -10

Combine like terms: 4 + -10 = -6
-7n = -6

Divide each side by '-7'.
n = 0.8571428571

Simplifying
n = 0.8571428571

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